Arithmetical Analysis, Or Higher Mental Arithmetic for Advanced Classes
Author : James Bates Thomson
Publisher :
Page : 204 pages
File Size : 37,36 MB
Release : 1867
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Author : James Bates Thomson
Publisher :
Page : 204 pages
File Size : 37,36 MB
Release : 1867
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Author : James Bates Thomson
Publisher :
Page : 400 pages
File Size : 20,38 MB
Release : 1858
Category : Arithmetic
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Author : James Bates Thomson
Publisher :
Page : 192 pages
File Size : 47,20 MB
Release : 1875
Category : Mathematics
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Author : James Bates Thomson
Publisher :
Page : 418 pages
File Size : 20,69 MB
Release : 1849
Category : Arithmetic
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Author : James Bates Thomson
Publisher :
Page : 428 pages
File Size : 43,45 MB
Release : 1851
Category : Arithmetic
ISBN :
Author : J-P. Serre
Publisher : Springer Science & Business Media
Page : 126 pages
File Size : 40,84 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1468498843
This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant ± I. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses "analytic" methods (holomor phic functions). Chapter VI gives the proof of the "theorem on arithmetic progressions" due to Dirichlet; this theorem is used at a critical point in the first part (Chapter Ill, no. 2.2). Chapter VII deals with modular forms, and in particular, with theta functions. Some of the quadratic forms of Chapter V reappear here. The two parts correspond to lectures given in 1962 and 1964 to second year students at the Ecole Normale Superieure. A redaction of these lectures in the form of duplicated notes, was made by J.-J. Sansuc (Chapters I-IV) and J.-P. Ramis and G. Ruget (Chapters VI-VII). They were very useful to me; I extend here my gratitude to their authors.
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Page : 714 pages
File Size : 17,13 MB
Release : 1860
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Page : 668 pages
File Size : 47,97 MB
Release : 1855
Category : American literature
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Page : 328 pages
File Size : 40,16 MB
Release : 1891
Category : Schools
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Author : James Bates THOMSON
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Page : 388 pages
File Size : 24,37 MB
Release : 1852
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